Details

Time bar (total: 3.7s)

sample26.0ms

Algorithm
intervals
Results
9.0ms248×body80valid
2.0ms16×body320valid
1.0ms11×body640valid
1.0ms17×body160valid
1.0ms4×body1280valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0206
1456
21116
32886
47146
514936
633936
750026

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 23.6b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) (- z t))
4.5b
(+ x (/ (* (- y x) (- z t)) (- a t)))
15.5b
(/ (* (- y x) (- z t)) (- a t))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
13×flip3-- flip--
10×add-exp-log add-cbrt-cube
8×frac-times associate-/l/
7×add-cube-cbrt
5×pow1 times-frac associate-*r* associate-*l* associate-/r* add-log-exp
4×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
9.0ms
(* (- y x) (- z t))
10.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
12.0ms
(/ (* (- y x) (- z t)) (- a t))

series292.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* (- y x) (- z t))
149.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
108.0ms
(/ (* (- y x) (- z t)) (- a t))

simplify52.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0468583
12162534
25003534

prune226.0ms

Filtered
90 candidates to 67 candidates (74.4%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New781290
Fresh000
Picked101
Done000
Total791291

Merged error: 5.4b

Counts
91 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
2.2b
(/ (- y x) (/ (- a t) (- z t)))
4.5b
(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
330×times-frac
323×*-un-lft-identity
321×add-sqr-sqrt
113×add-cube-cbrt
104×distribute-lft-out-- difference-of-squares
36×associate-/r*
15×associate-/r/
10×add-exp-log add-cbrt-cube associate-/l*
9×flip3-- flip--
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×frac-2neg clear-num
1×+-commutative associate-+r- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 274
Calls
3 calls:
8.0ms
(/ (- a t) (- z t))
15.0ms
(/ (- y x) (/ (- a t) (- z t)))
42.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

series604.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (- a t) (- z t))
406.0ms
(/ (- y x) (/ (- a t) (- z t)))
152.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify109.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010303053
142632984
250012984

prune520.0ms

Filtered
283 candidates to 172 candidates (60.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2767283
Fresh8311
Picked011
Done000
Total28411295

Merged error: 5.3b

Counts
295 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.0b
(* (- y x) (/ (- z t) (- a t)))
4.5b
(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 119
Calls
3 calls:
7.0ms
(/ (- z t) (- a t))
15.0ms
(* (- y x) (/ (- z t) (- a t)))
3.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series299.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (- z t) (- a t))
105.0ms
(* (- y x) (/ (- z t) (- a t)))
147.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify53.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0476869
12018820
25002820

prune236.0ms

Filtered
128 candidates to 87 candidates (68.0%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1262128
Fresh099
Picked011
Done011
Total12613139

Merged error: 5.3b

Counts
139 → 13

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
3.1b
(* (/ (- y x) (- a t)) (- z t))
5.7b
(+ x (* (/ (- y x) (- a t)) (- z t)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*l*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*r* associate-/r* flip-- associate-/l* add-log-exp
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in associate-/r/
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 127
Calls
3 calls:
10.0ms
(/ (- y x) (- a t))
15.0ms
(* (/ (- y x) (- a t)) (- z t))
4.0ms
(+ x (* (/ (- y x) (- a t)) (- z t)))

series392.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (- y x) (- a t))
198.0ms
(* (/ (- y x) (- a t)) (- z t))
146.0ms
(+ x (* (/ (- y x) (- a t)) (- z t)))

simplify54.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0525940
11916890
25001890

prune243.0ms

Filtered
136 candidates to 92 candidates (67.6%)
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1333136
Fresh1910
Picked011
Done022
Total13415149

Merged error: 5.3b

Counts
149 → 15

regimes304.0ms

bsearch3.0ms

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